Appropriate finite-element formulations for 3-D electromagnetic-field problems

被引：10

作者：

Kaltenbacher, M ^{[1
]}

Reitzinger, S

机构：

[1] Univ Erlangen Nurnberg, Dept Sensor Technol, D-91052 Erlangen, Germany

[2] Univ Linz, Dept Computat Math & Optimizat, A-4040 Linz, Austria

来源：

IEEE TRANSACTIONS ON MAGNETICS | 2002年 / 38卷 / 02期

基金：

奥地利科学基金会;

关键词：

appropriate formulation; nodal finite elements; 3-D magnetic-field computation;

D O I：

10.1109/20.996135

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper deals with the appropriate finite-element (FE) formulations of three-dimensional electromagnetic-field problems. The magnetic vector potential is used as the field variable and two variational formulations for the FE discretization with Lagrange (nodal) as well as Nedelec (edge) FEs are discussed. We will especially focus on the problems arising by using nodal FEs and will demonstrate the correct approximation by applying a special weighting within the divergence integral.

引用

页码：513 / 516

页数：4

共 10 条

[1]

[Anonymous], 1979, FINITE ELEMENT APPRO, DOI DOI 10.1007/BFB0063447

[2]

Arnold DN, 2000, NUMER MATH, V85, P197, DOI 10.1007/s002110000137

[3]

COSTABEL M, 2001, 0126 IRMAR

[4] Multigrid method for Maxwell's equations [J].

Hiptmair, R .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1998, 36 (01) :204-225

[5] Comparison of methods for modelling jumps in conductivity using magnetic vector potential based formulations [J].

Leonard, PJ ;

Rodger, D .

IEEE TRANSACTIONS ON MAGNETICS, 1997, 33 (02) :1295-1298

[6] A NEW FAMILY OF MIXED FINITE-ELEMENTS IN R3 [J].

NEDELEC, JC .

NUMERISCHE MATHEMATIK, 1986, 50 (01) :57-81

[7] Gauged current vector potential and reentrant corners in the FEM analysis of 3D eddy currents [J].

Preis, K ;

Bíró, O ;

Ticar, I .

IEEE TRANSACTIONS ON MAGNETICS, 2000, 36 (04) :840-843

[8] Algebraic multigrid methods for magnetostatic field problems [J].

Reitzinger, S ;

Kaltenbacher, M .

IEEE TRANSACTIONS ON MAGNETICS, 2002, 38 (02) :477-480

[9]

REITZINGER S, 2000, 0015 SFB J KEPL U

[10]

Schinnerl M, 2000, IEEE T MAGN, V36, P1557, DOI 10.1109/20.877736

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